You want to get this equation in slope intercept form and you have,
x+5y=10
You must first move x to the other side and get
5y=-x+10
next we isolate y by dividing by 5
y= -1/5x+2
So, the slope is -1/2 and the yintercept is positive 2.
We can now plot the first point at (0,2). To find the next point, we add the x and y values of our slope to the values for our slope intercept so our second point is (0+5,2-1) or (5,1)
Answer:
Chan is not correct.
The correct equivalent quarterly interest rate is 1.3108% per quarter.
Step-by-step explanation:
Given that Chan deposited money into his retirement account.
The interest was 7% compounded annually.
Let P be the amount invested and F the final amount got after 1 year
If compounded annually,
F = P(1+0.07) = 1.07P
If compounded quarterly, no of quarters = 4
F = 
= 1.3108P
Hence equivalent interest rate = 1.3108% and not 2%
Answer:
a=0.2
Step-by-step explanation:
Let's solve your equation step-by-step.
2.8=14a
Step 1: Flip the equation.
14a=2.8
Step 2: Divide both sides by 14.
14a/
14
=
2.8/
14
a=0.2
Answer:
a=0.2
Answer:
Acute.
Step-by-step explanation:
Using the Triangle Inequality Theorem you know that the sum of the lengths of two sides of a triangle are greater than the length of the third side.
Using this we can narrow it down that this DOES have a solution, since 10+12>15.
Now, we can determine if this triangle is a right triangle using the Pythagorean Theorem. C is the longest length.
If c^2= a^2+b^2, then it is a right triangle.
If c^2< a^2+b^2 then it is an acute triangle.
If c^2>a^2+b^2 then it is an obtuse triangle.
We can now substitute. (A and B are interchangeable, but C is the longest length.
A=10
B=12
C=15
A^2=100
B^2=144
C^2=255
We can now figure out that this triangle is acute because A^2+ B^2 (244) < C^2 (255).
Hope this helps!
Answer:
X=-2
Step-by-step explanation:
3x=5x+4
subtract 5x from both sides
-2x=4
divide both sides by -2
x=-2